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Finding the Fourth Proportional to 12,354,032.34, 18,504,978.93 and 9,911,964.06

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Solution

The fourth proportional to 12,354,032.34, 18,504,978.93 and 9,911,964.06 is: 14,847,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354,032.34 : 18,504,978.93 = 9,911,964.06 : x
  2. Step 2: Convert to fraction form
    12,354,032.34/18,504,978.93 = 9,911,964.06/x
  3. Step 3: Cross multiply
    12,354,032.34x = 18,504,978.93 × 9,911,964.06
  4. Step 4: Simplify right side
    12,354,032.34x = 183,420,686,085,217.25
  5. Step 5: Solve for x
    x = 183,420,686,085,217.25/12,354,032.34
  6. Step 6: Final answer
    x = 14,847,029.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.